H. K. D. H. Bhadeshia Created 2026-10-20 Updated 2026-11-05
H. K. D. H. Bhadeshia writes explanatory accounts of microstructure and deformation in engineering materials. Nickel based superalloy: dislocation structure by H. K. D. H. Bhadeshia interprets paired dislocations after creep, while Tempered Martensite by H. K. D. H. Bhadeshia connects heat treatment to the structure of martensite. Both use observable structures to explain a material's mechanical behaviour.[ref][ref]
Tempered Martensite by H. K. D. H. Bhadeshia. microstructural account
Past exam of the materials science course of the University of Cambridge 2017 Paper 1 7 c Solution 2026-10-20
The nickel-rich matrix is a disordered substitutional solid solution on a face-centered cubic lattice. The ordered phase has the L12 structure, approximately : aluminium occupies cube corners and nickel occupies face centres. Its occupied-site geometry is often called ordered FCC, but its chemically labelled Bravais lattice is primitive cubic, with a four-atom basis. A face-centre translation exchanges chemical sublattices and is not a symmetry of the ordered crystal.
Each Al atom has twelve nearest-neighbour Ni atoms at Euclidean distance . Each Ni atom has twelve nearest neighbours too, but these are four Al and eight Ni. The chemical distinction matters for slip. In disordered , the shortest perfect Burgers vector isFor the ordered primitive cubic translation lattice, the shortest order-preserving perfect vector isThis does not imply that slip must dominate. A vector must lie in a favourable glide plane and have an accessible core structure and activation stress. Matrix dislocations commonly glide on systems. A single passage through leaves an antiphase boundary; a second matching passage restores order, giving total vector . Such a superdislocation has a longer total vector than , yet its constituent dislocations can move on the favourable close-packed planes and interact with the matrix. Paired motion balances line and antiphase-boundary energies, so the shortest abstract lattice translation alone does not select the active slip system.[ref]
Nickel based superalloy: dislocation structure by H. K. D. H. Bhadeshia. explanation of matrix translations, ordered-phase antiphase boundaries and paired dislocations
Past exam of the materials science course of the University of Cambridge 2017 Paper 1 7 d Solution 2026-10-20
The main strengthening architecture is a high volume fraction of fine, thermally stable ordered gamma prime phase precipitates in the ductile nickel-rich matrix. Their nearly matching crystal parameters allow coherent crystal interfaces, but coherence does not make them transparent to a moving dislocation: cutting disrupts chemical order and costs antiphase-boundary energy. Pairing of cutting dislocations and their interactions with narrow matrix channels raise the stress needed for deformation. For particles that are bypassed, bowing and high-temperature climb are also impeded by the precipitate spacing and interface dislocation structures.
coherency strain and differences in elastic response provide additional obstacles. Refractory substitutional solutes contribute solid-solution strengthening and can slow diffusion-controlled deformation. Single-crystal manufacture suppresses grain-boundary creep and grain-boundary cavitation. Together these mechanisms permit useful strength at temperatures where an unstrengthened nickel matrix would deform much faster. Protective oxide scales and coatings preserve load-bearing material against environmental attack; they complement, rather than replace, the internal strengthening mechanisms.
A concrete microscopic observation is the paired dislocation loops around fine precipitates in the Cambridge C263 creep micrograph: the observed defect structure supports the importance of precipitate–dislocation interactions, though one image does not by itself separate every strengthening contribution.[ref]
Nickel based superalloy: dislocation structure by H. K. D. H. Bhadeshia. creep-tested C263 micrograph and accompanying paired-loop interpretation
In-situ diffraction during stress-jump tests of a rafted AM1 single crystal also resolves evolving load partition and deformation in matrix channels, demonstrating why channel width and interface interactions matter.[ref]Dislocation Densities and Velocities within the γ Channels of an SX Superalloy during In Situ High-Temperature Creep Tests by T. Schenk and others. abstract, Sections 2–4: transmission diffraction, loading transients and channel-deformation analysis
Long exposure can coarsen or change the precipitate morphology and alter channel widths, so high strength is conditional on temperature, time and microstructural stability. Yanhui Zhang Created 2026-10-20 Updated 2026-11-05
Yanhui Zhang supplied the transmission electron microscopy image reproduced in Nickel based superalloy: dislocation structure by H. K. D. H. Bhadeshia. It shows paired dislocation loops in a nickel-based superalloy after creep testing. The source credits the image explicitly; this establishes the contribution without inferring an unrelated same-name biography.[ref]
Nickel based superalloy: dislocation structure by H. K. D. H. Bhadeshia. micrograph credit and interpretation